Self-similarity during growth of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Au</mml:mi><mml:mo>∕</mml:mo><mml:mi mathvariant="normal">Ti</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>110</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>model catalyst as seen by the scattering of x-rays at grazing-angle incidence

Lazzari, Rémi; Renaud, Gilles; Jupille, Jacques; Leroy, F.

doi:10.1103/physrevb.76.125412

Cited by 70 publications

(83 citation statements)

References 103 publications

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“…The suggestion of a scavenging of such small entities is supported by the evolution of the specular rod (Figure 6) of which increase in intensity and decrease in width conveys an increase in the X-ray reflection coefficient of the surface 25,43. A key observation is the increase in the average thickness of the deposit as determined by GISAXS, from ∼ 0.16 nm on the as grown deposit, to ∼ 0.27 nm after the series of treatments, a final value close to the average thickness of 0.3 nm measured by the quartz balance (Figure 5).After exposure to partial pressure of CO of 10 −1 Pa, 1 Pa and 10 3 Pa of the 300 K deposit, Pt particles increase in height and size whereas the interparticle distance only slightly increases.…”

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confidence: 86%

CO-Induced Scavenging of Supported Pt Nanoclusters: A GISAXS Study

et al. 2012

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Supported platinum nanoparticles in the presence of carbon monoxide in the 10 −6 − 10 3 Pa CO pressure range were studied by Grazing Incidence Small-Angle X-Ray Scattering. Disruption and aggregation of platinum nanoparticles upon CO exposure are shown to occur in parallel. Particles smaller than a critical size of 1 nm undergo scavenging after disruption in the form of carbonyls at CO pressure as low as 10 −1 Pa. Mobile carbonyls then agglomerate to larger clusters. Upon annealing, a CO-driven diffusion and agglomeration of clusters of size ranging between the critical size and 2 nm is observed. These phenomena are discussed in relation to the CO-metal, metal-metal and metal-substrate relative bond strengths. Similar mechanisms are suggested to hold for other supported metal catalysts. . (6) Stakheev, A. U.; Shpiro, E. S.; Jaeger, N. I.; Schulz-Ekloff, G.

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confidence: 86%

CO-Induced Scavenging of Supported Pt Nanoclusters: A GISAXS Study

et al. 2012

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“…With these advantages, GISAXS has been applied to a variety of systems, such as nanostructured polymer thin films, [9][10][11][12][13][14][15][16][17][18] nanoparticle-polymer composites, 5,6,[19][20][21] and supported nanoislands. [22][23][24][25][26][27][28] Due to the complex data processing involving the distorted-wave Born approximation (DWBA), GISAXS analyses in early days were often performed in a qualitative manner, where only scattering peak positions and widths are identified. The quantitative analysis theories and experimental applications have been extensively reviewed, 8 where various DWBA approximations were discussed and compared for a variety of systems.…”

Section: -7mentioning

confidence: 99%

“…A graded DWBA has been recently developed to account for the perturbation induced by high surface concentration of nanoislands supported on substrates. 32 However, in the presence of the XSW-induced waveguide effect, the intrinsic interference arising from the depth-dependent EFI and the scattering from the buried nanostructures becomes significant, especially at grazing angles between the critical angles of total external reflection for the film and the substrate. Such effects can invalidate some of the basic assumptions used in conventional DWBA theories.…”

Section: -7mentioning

confidence: 99%

Waveguide-enhanced grazing-incidence small-angle x-ray scattering of buried nanostructures in thin films

et al. 2011

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X-ray standing waves (XSW) generated by the interference of the scattered x-rays from parallel surfaces of a thin film, the so-called waveguide effect, can be used to enhance the scatterings from certain depths of the film. Used in combination with grazing-incidence small-angle x-ray scattering (GISAXS), this resonance effect provides depth sensitivity to extract buried structures in thin films of polymer and polymer/nanoparticle nanocomposite, which are not readily accessible by most surface techniques, such as scanning probe microscopy. We developed a rigorous theory of the diffuse scattering in the framework of the distorted-wave Born approximation (DWBA) using a discretization method analogous to Parratt's recursive formalism. In such a case, the distortion of the electric field of the unperturbed state from the nanostructures of interest is considered in a selfconsistent manner. This theory allows a quantitative determination of the buried nanostructures when the x-ray waveguide enhancement is present or the size of the nanostructures of interest is comparable to or larger than the spatial frequency of electric field intensity distribution. A unique capability afforded by this theory is that a nanometer or even subnanometer spatial resolution can be achieved in the depth information of the buried nanostructures.

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“…Thus, the total scattering intensity is the incoherent sum of all the monodisperse domains. The Size and Shape Correlation Approximation (SSCA) 21,33,34 assumes that scattering from different kinds of scatters will produce interference scattering. Thus, the size distribution is related to the shape of the scatters.…”

Section: E Size Distribution Of Mesochannel Particlementioning

confidence: 99%

A general model for estimating the ordering of mesoporous film by grazing incidence small angle X-ray scattering

Nie

Yang

Zhang

et al. 2014

Journal of Applied Physics

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The ability to quantifiably characterize the structure of mesoporous membranes over a large sample surface area is inherently crucial to the preparation of well-controlled and functional mesoporous silica films. To estimate the degree of ordering in silica films on a statistical level, grazing incidence small angle x-ray scattering (GISAXS) was used to analyze the nanostructure of silica films with high-ordered mesochannel arrays, and a general analysis model was developed for interpreting the resulting GISAXS patterns. Structural information on the films, including the mesochannel size, orientation, positional distribution factor, subunit number in coherent region, and mesochannel length distribution, were obtained by fitting the model to the experimental data. The GISAXS analysis results showed the gradually decreasing ordering of silica film, which can be attributed to two aspects: the positional deviation from ideal lattice sites in the plane perpendicular to the substrate surface, and the wide length distribution of the mesochannels. The proposed model is expected to be successfully extendable to the analysis of several other types of mesoporous film with different pore morphologies.

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Self-similarity during growth of theAu∕TiO2(110)model catalyst as seen by the scattering of x-rays at grazing-angle incidence

Cited by 70 publications

References 103 publications

CO-Induced Scavenging of Supported Pt Nanoclusters: A GISAXS Study

CO-Induced Scavenging of Supported Pt Nanoclusters: A GISAXS Study

Waveguide-enhanced grazing-incidence small-angle x-ray scattering of buried nanostructures in thin films

A general model for estimating the ordering of mesoporous film by grazing incidence small angle X-ray scattering

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